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Finding the Fourth Proportional to 11,513.85, 15,889.20 and 6,478.05

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Solution

The fourth proportional to 11,513.85, 15,889.20 and 6,478.05 is: 8,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.85 : 15,889.20 = 6,478.05 : x
  2. Step 2: Convert to fraction form
    11,513.85/15,889.20 = 6,478.05/x
  3. Step 3: Cross multiply
    11,513.85x = 15,889.20 × 6,478.05
  4. Step 4: Simplify right side
    11,513.85x = 102,931,032.06
  5. Step 5: Solve for x
    x = 102,931,032.06/11,513.85
  6. Step 6: Final answer
    x = 8,939.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.